This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A354244 #9 May 21 2022 08:30:51 %S A354244 1,2,26,796,44916,4058448,537029616,97903213056,23525415709632, %T A354244 7205450503530816,2740066802232081984,1266655419369548369280, %U A354244 699532666466320784246400,454880976674201215672273920,344008843780994236543882521600 %N A354244 Expansion of e.g.f. Sum_{k>=0} (2*k)! * (-log(1-x))^k / k!. %F A354244 a(n) = Sum_{k=0..n} (2*k)! * |Stirling1(n,k)|. %o A354244 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (2*k)!*(-log(1-x))^k/k!))) %o A354244 (PARI) a(n) = sum(k=0, n, (2*k)!*abs(stirling(n, k, 1))); %Y A354244 Cf. A007840, A354251. %Y A354244 Cf. A316747, A354241. %K A354244 nonn %O A354244 0,2 %A A354244 _Seiichi Manyama_, May 20 2022